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Simplifying (7c + 5)(2c + -3) = 0 Reorder the terms: (5 + 7c)(2c + -3) = 0 Reorder the terms: (5 + 7c)(-3 + 2c) = 0 Multiply (5 + 7c) * (-3 + 2c) (5(-3 + 2c) + 7c * (-3 + 2c)) = 0 ((-3 * 5 + 2c * 5) + 7c * (-3 + 2c)) = 0 ((-15 + 10c) + 7c * (-3 + 2c)) = 0 (-15 + 10c + (-3 * 7c + 2c * 7c)) = 0 (-15 + 10c + (-21c + 14c2)) = 0 Combine like terms: 10c + -21c = -11c (-15 + -11c + 14c2) = 0 Solving -15 + -11c + 14c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -7c)(3 + -2c) = 0Subproblem 1
Set the factor '(-5 + -7c)' equal to zero and attempt to solve: Simplifying -5 + -7c = 0 Solving -5 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7c = 0 + 5 -7c = 0 + 5 Combine like terms: 0 + 5 = 5 -7c = 5 Divide each side by '-7'. c = -0.7142857143 Simplifying c = -0.7142857143Subproblem 2
Set the factor '(3 + -2c)' equal to zero and attempt to solve: Simplifying 3 + -2c = 0 Solving 3 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2c = 0 + -3 -2c = 0 + -3 Combine like terms: 0 + -3 = -3 -2c = -3 Divide each side by '-2'. c = 1.5 Simplifying c = 1.5Solution
c = {-0.7142857143, 1.5}
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